Add bloq for Binary Polynomial Multiplication #1554
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mpharrigan
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NoureldinYosri
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This is the final PR in the series #1554, #1533, and #1516. These PRs implemented the GF($2^n$) multiplication construction from https://arxiv.org/abs/1910.02849v2 which has a toffoli complexity of $n^{\log_2{3}}$
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The bloqs$n^{\log_2{3}}$ . The construction of each recursively calls the other.
BinaryPolynomialMultiplicationandMultiplyPolyByOnePlusXkimplement karatsuba's algorithm for binary polynomial multiplication with toffoli count ofThese two bloqs are algorithms 3 and 2 from https://arxiv.org/pdf/1910.02849v2 respectively.
In a final PR, I will implement algorithm 4 which implements galois multiplication in GF($2^n$ ) $\mod m(x)$ where $m(x)$ is an irreducible binary polynomial.